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Unformatted text preview: may use the identity 2 cos x sin x = sin 2 x . 1 Formulash 2 12 ( ba ) f 00 ( c )h 2 12 ( f ( b )f ( a ))h 4 180 ( ba ) f (4) ( c )h 4 180 ( f 000 ( b )f 000 ( a )) h [ 1 2 f ( x ) + f ( x 1 ) + f ( x 2 ) + ... + f ( x n1 ) + 1 2 f ( x n )] h 3 [ f ( x ) + 4 f ( x 1 ) + 2 f ( x 2 ) + 4 f ( x 3 ) + 2 f ( x 4 ) + ... + 2 f ( x n2 ) + 4 f ( x n1 ) + f ( x n )] ( xx )( xx 1 ) ... ( xx n ) ( n + 1)! f ( n +1) ( c ) ( xx )( xx 1 ) ... ( xx n ) ( n + 1)! f ( n +1) ( c ) L i ( x ) = ( xx ) ... ( xx i1 )( xx i +1 ) ... ( xx n ) ( x ix ) ... ( x ix i1 )( x ix i +1 ) ... ( x ix n ) P n ( x ) = y L ( x ) + y 1 L 1 ( x ) + ... + y n L n ( x ) 2...
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 Fall '09
 Math, Polynomial interpolation, Spline interpolation, Xn, Prof. Boubendir

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